A class of tests of proportional hazards assumption for left-truncated and right-censored data |
| |
| Authors: | Wei Chen Dehui Wang Yanfeng Li |
| |
| Affiliation: | 1. School of Zhangjiagang, Jiangsu University of Science and Technology, Zhangjiagang 215600, People's Republic of China;2. College of Mathematics, Jilin University, Changchun 130012, People's Republic of China;3. College of Mathematics, Jilin University, Changchun 130012, People's Republic of China |
| |
| Abstract: | In this paper, we proposed a class of tests of proportional hazards assumption for left-truncated and right-censored data based on a pair of estimators of the hazard ratio constant. Using counting process and martingale theory, the asymptotically normal distribution of the test statistic is derived and a family of consistent estimators of variance are also provided. Extensive simulation studies were conducted to evaluate the performance of the proposed test statistics under finite sample situations. Two real data sets are analyzed to illustrate our method. |
| |
| Keywords: | proportional hazards assumption two-sample problem hazard ratio left-truncated and right-censored data counting process |
|
|
